252051456 has 72 divisors (see below), whose sum is σ = 673183224. Its totient is φ = 83886080.

The previous prime is 252051433. The next prime is 252051461. The reversal of 252051456 is 654150252.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 392896 + ... + 393536.

It is an arithmetic number, because the mean of its divisors is an integer number (9349767).

Almost surely, 2^252051456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252051456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336591612).

252051456 is an abundant number, since it is smaller than the sum of its proper divisors (421131768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

252051456 is an frugal number, since it uses more digits than its factorization.

252051456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 252051456 is about 15876.1284953228. The cubic root of 252051456 is about 631.6789481890.

The spelling of 252051456 in words is "two hundred fifty-two million, fifty-one thousand, four hundred fifty-six".